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Simplifying 0 = 5x2 + -11x + 8 Reorder the terms: 0 = 8 + -11x + 5x2 Solving 0 = 8 + -11x + 5x2 Solving for variable 'x'. Combine like terms: 0 + -8 = -8 -8 + 11x + -5x2 = 8 + -11x + 5x2 + -8 + 11x + -5x2 Reorder the terms: -8 + 11x + -5x2 = 8 + -8 + -11x + 11x + 5x2 + -5x2 Combine like terms: 8 + -8 = 0 -8 + 11x + -5x2 = 0 + -11x + 11x + 5x2 + -5x2 -8 + 11x + -5x2 = -11x + 11x + 5x2 + -5x2 Combine like terms: -11x + 11x = 0 -8 + 11x + -5x2 = 0 + 5x2 + -5x2 -8 + 11x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -8 + 11x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.6 + -2.2x + x2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + -2.2x + -1.6 + x2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + -2.2x + x2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -2.2x + x2 = 0 + -1.6 -2.2x + x2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 -2.2x + x2 = -1.6 The x term is -2.2x. Take half its coefficient (-1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. -2.2x + 1.21 + x2 = -1.6 + 1.21 Reorder the terms: 1.21 + -2.2x + x2 = -1.6 + 1.21 Combine like terms: -1.6 + 1.21 = -0.39 1.21 + -2.2x + x2 = -0.39 Factor a perfect square on the left side: (x + -1.1)(x + -1.1) = -0.39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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